8-2(4x+1)=-6x-2

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Solution for 8-2(4x+1)=-6x-2 equation:


Simplifying
8 + -2(4x + 1) = -6x + -2

Reorder the terms:
8 + -2(1 + 4x) = -6x + -2
8 + (1 * -2 + 4x * -2) = -6x + -2
8 + (-2 + -8x) = -6x + -2

Combine like terms: 8 + -2 = 6
6 + -8x = -6x + -2

Reorder the terms:
6 + -8x = -2 + -6x

Solving
6 + -8x = -2 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
6 + -8x + 6x = -2 + -6x + 6x

Combine like terms: -8x + 6x = -2x
6 + -2x = -2 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + -2x = -2 + 0
6 + -2x = -2

Add '-6' to each side of the equation.
6 + -6 + -2x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -2 + -6
-2x = -2 + -6

Combine like terms: -2 + -6 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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